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Finding the Third Proportional to 14,033,382 and 30,232,380

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Solution

The third proportional to 14,033,382 and 30,232,380 is: 65,130,187.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,033,382 : 30,232,380 = 30,232,380 : x
  2. Step 2: Convert to fraction form
    14,033,382/30,232,380 = 30,232,380/x
  3. Step 3: Cross multiply
    14,033,382x = 30,232,380 × 30,232,380
  4. Step 4: Simplify right side
    14,033,382x = 913,996,800,464,400
  5. Step 5: Solve for x
    x = 913,996,800,464,400/14,033,382
  6. Step 6: Final answer
    x = 65,130,187.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.